摘要
矩阵在处理实际问题中有着重要的应用,在矩阵理论中逆矩阵是一个核心内容,逆矩阵的求法自然也就成为线性代数研究的主要内容之一.由于高阶矩阵的逆矩阵计算量较大,本文对分块矩阵的逆矩阵进行了研究,重点研究了某些5×5分块矩阵的可逆性条件,给出了这类可逆矩阵的求逆公式,并通过举例来说明用这种方法求分块矩阵的逆的简捷性.
Matrix has an important application in dealing with practical matters, and inverting matrix is the core of the theories of matrix, hence, techniques used to solve the inverting matrix turn into one of the most important matters. Due to the large calculation, the paper studies the inverting matrix of the block matrix, especially reversibility of the inverting matrix（5 × 5）. It provides the formula of invertible matrix and shows the convenience of this method through examples.
出处
《清远职业技术学院学报》
2009年第3期61-64,共4页
Journal of Qingyuan Polytechnic
关键词
分块矩阵
可逆矩阵
逆矩阵
Block matrix
Iznvertible matrix： Inverting matrix
